Understanding Quadrilaterals Test

Result

Understanding Quadrilaterals Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Which of the following quadrilaterals is a regular polygon?

A
Trapezium

B
Rhombus

C
Square

D
Kite

Solution

A polygon which is both equiangular and equilateral is called a regular polygon.

Among the given quadrilaterals, only a square has all its sides of the same length and all angles of the same measure (90°). Since a square is both equiangular and equilateral, it is a regular polygon.

The correct answer is C.
Question 2
1 / -0

What is the sum of all interior angles of a twelve-sided convex polygon?

A
800°

B
900°

C
1800°

D
3600°

Solution

A twelve-sided convex polygon can be divided into 12 − 2 = 10 triangles by drawing diagonals from one of its vertices to the other non-adjacent vertices.

Also, we know that the sum of all interior angles in a triangle is 180°.

∴Sum of internal angles of 10 triangles = 10 × 180° = 1800°

Thus, the sum of all interior angles of a twelve-sided convex polygon is 1800°.

The correct answer is C.